Quotes by G. H. Hardy

G. H. Hardy

… Philosophy proper is a subject, on the one hand so hopelessly obscure, on the other so astonishingly elementary, that there knowledge hardly counts.

Hands

Obscure

Philosophy

[I was advised] to read Jordan’s ‘Cours d’analyse’; and I shall never forget the astonishment with which I read that remarkable work, the first inspiration for so many mathematicians of my generation, and learnt for the first time as I read it what mathematics really meant.

Firsts

Inspiration

Science

[Regarding mathematics,] there are now few studies more generally recognized, for good reasons or bad, as profitable and praiseworthy. This may be true; indeed it is probable, since the sensational triumphs of Einstein, that stellar astronomy and atomic physics are the only sciences which stand higher in popular estimation.

May

Study

Triumph

317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way.

Mind

Reality

Thinking

A chess problem is genuine mathematics, but it is in some way “trivial” mathematics. However, ingenious and intricate, however original and surprising the moves, there is something essential lacking. Chess problems are unimportant. The best mathematics is serious as well as beautiful-“important” if you like, but the word is very ambiguous, and “serious” expresses what I mean much better.

Beautiful

Mean

Moving

A chess problem is simply an exercise in pure mathematics.

Chess

Exercise

Problem

A man who sets out to justify his existence and his activities has to distinguish two different questions. The first is whether the work which he does is worth doing; and the second is why he does it (whatever its value may be).

Men

Science

Two

A mathematician … has no material to work with but ideas, and so his patterns are likely to last longer, since ideas wear less with time than words.

Ideas

Patterns

Science

A mathematician, like a painter or a poet, is a maker of patterns.

Math

Original Ideas

Patterns

A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.

Education

Math

Unique

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Achievement

Add

Ambition

Ambitious

Apology

Appreciation

Art

Average

Bayonets

Beautiful

Beauty

Being True

Believe

Blow

Bombs

Book

Bored

Boring

Boys

Branches

Can Do

Cases

Character

Chess

Civilization

Class

Clever

Common Sense

Conflict

Contemplative

Creating

Creative

Creativity

Cricket

Criticism

Degrees

Desire

Differences

Discovery

Distribution Of Wealth

Doe

Done

Economy

Education

Escaping

Example

Exercise

Eye

Fifty

Firsts

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Quotes by G. H. Hardy

G. H. Hardy

… Philosophy proper is a subject, on the one hand so hopelessly obscure, on the other so astonishingly elementary, that there knowledge hardly counts.

[I was advised] to read Jordan’s ‘Cours d’analyse’; and I shall never forget the astonishment with which I read that remarkable work, the first inspiration for so many mathematicians of my generation, and learnt for the first time as I read it what mathematics really meant.

317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way.

A chess problem is simply an exercise in pure mathematics.

A man who sets out to justify his existence and his activities has to distinguish two different questions. The first is whether the work which he does is worth doing; and the second is why he does it (whatever its value may be).

A mathematician … has no material to work with but ideas, and so his patterns are likely to last longer, since ideas wear less with time than words.

A mathematician, like a painter or a poet, is a maker of patterns.

A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.

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